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Question 5 A population of healthy people over the year of age 50 to 51 is subject to a constant force of decrement due to sickness of 0.08 per annum, and a constant force of mortality of 0.002 per annum. Assume that a double decrement model is used. (a) Calculate the probability that a healthy person aged exactly 50 will still be healthy at exact age 51. (b) Calculate the probability that a healthy person aged exactly 50 will die due to any cause other than from sickness before exact age 51. (c) Calculate the independent probability of a life aged exactly 50 dying before exact age 51.

Question 5 A population of healthy people over the year of age 50 to 51 is subject to a constant force of decrement due to sickness of 0.08 per annum, and a constant force of mortality of 0.002 per annum. Assume that a double decrement model is used. (a) Calculate the probability that a healthy person aged exactly 50 will still be healthy at exact age 51. (b) Calculate the probability that a healthy person aged exactly 50 will die due to any cause other than from sickness before exact age 51. (c) Calculate the independent probability of a life aged exactly 50 dying before exact age 51.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 61CR
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Question 5 A population of healthy people over the year of age 50 to 51 is subject to a constant force of decrement due to sickness of 0.08 per annum, and a constant force of mortality of 0.002 per annum. Assume that a double decrement model is used. (a) Calculate the probability that a healthy person aged exactly 50 will still be healthy at exact age 51. (b) Calculate the probability that a healthy person aged exactly 50 will die due to any cause other than from sickness before exact age 51. (c) Calculate the independent probability of a life aged exactly 50 dying before exact age 51. TE [
Transcribed Image Text:Question 5 A population of healthy people over the year of age 50 to 51 is subject to a constant force of decrement due to sickness of 0.08 per annum, and a constant force of mortality of 0.002 per annum. Assume that a double decrement model is used. (a) Calculate the probability that a healthy person aged exactly 50 will still be healthy at exact age 51. (b) Calculate the probability that a healthy person aged exactly 50 will die due to any cause other than from sickness before exact age 51. (c) Calculate the independent probability of a life aged exactly 50 dying before exact age 51. TE [
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